{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Deep Learning Models -- A collection of various deep learning architectures, models, and tips for TensorFlow and PyTorch in Jupyter Notebooks.\n",
    "- Author: Sebastian Raschka\n",
    "- GitHub Repository: https://github.com/rasbt/deeplearning-models"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Sebastian Raschka \n",
      "\n",
      "CPython 3.7.3\n",
      "IPython 7.9.0\n",
      "\n",
      "torch 1.4.0\n"
     ]
    }
   ],
   "source": [
    "%load_ext watermark\n",
    "%watermark -a 'Sebastian Raschka' -v -p torch"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "- Runs on CPU or GPU (if available)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Vanilla Loss Gradient (wrt Inputs) Visualization \n",
    "\n",
    "## (Based on a VGG16 Convolutional Neural Network for Kaggle's Cats and Dogs Images)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Vizualization of the loss gradients with respect to the inputs (images) as a naive way to visualize CNN predictions. I.e.,\n",
    "\n",
    "$$\\nabla L(\\mathbf{x})=  \\left[\\begin{array}{c}\n",
    "\\frac{\\partial L}{\\partial x_1} \\\\\n",
    "\\frac{\\partial L}{\\partial x_2} \\\\\n",
    "\\vdots\n",
    "\\end{array}\\right]$$"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Please note that this notebook is to be run after [./_cnn-basemodel__vgg16-cats-dogs.ipynb](_cnn-basemodel__vgg16-cats-dogs.ipynb), which trains the VGG16 model on thh cats and dogs dataset."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Imports"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "import time\n",
    "import os\n",
    "\n",
    "import numpy as np\n",
    "\n",
    "import torch\n",
    "import torch.nn.functional as F\n",
    "import torch.nn as nn\n",
    "\n",
    "\n",
    "from torch.utils.data import Dataset\n",
    "from torch.utils.data import DataLoader\n",
    "from torchvision import transforms\n",
    "\n",
    "from PIL import Image\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "\n",
    "if torch.cuda.is_available():\n",
    "    torch.backends.cudnn.deterministic = True"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Settings"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "##########################\n",
    "### SETTINGS\n",
    "##########################\n",
    "\n",
    "# Device\n",
    "DEVICE = torch.device(\"cuda:0\" if torch.cuda.is_available() else \"cpu\")\n",
    "\n",
    "# Hyperparameters\n",
    "RANDOM_SEED = 1\n",
    "BATCH_SIZE = 128\n",
    "\n",
    "# Architecture\n",
    "NUM_CLASSES = 2\n",
    "\n",
    "# Image normalization parameters from _cnn-basemodel__vgg16-cats-dogs.ipynb\n",
    "train_mean = [0.4875, 0.4544, 0.4164]\n",
    "train_std = [0.2521, 0.2453, 0.2481]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Cats vs Dogs Dataset"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Please see [_cnn-basemodel__vgg16-cats-dogs.ipynb](_cnn-basemodel__vgg16-cats-dogs.ipynb) for instructions with regard to downloading this dataset."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "(331, 464, 3)\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "img = Image.open(os.path.join('dogs-vs-cats','train', 'cat.59.jpg'))\n",
    "print(np.asarray(img, dtype=np.uint8).shape)\n",
    "plt.imshow(img);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "class CatsDogsDataset(Dataset):\n",
    "    \"\"\"Custom Dataset for loading CelebA face images\"\"\"\n",
    "\n",
    "    def __init__(self, img_dir, transform=None):\n",
    "    \n",
    "        self.img_dir = img_dir\n",
    "        \n",
    "        self.img_names = [i for i in \n",
    "                          os.listdir(img_dir) \n",
    "                          if i.endswith('.jpg')]\n",
    "        \n",
    "        self.y = []\n",
    "        for i in self.img_names:\n",
    "            if i.split('.')[0] == 'cat':\n",
    "                self.y.append(0)\n",
    "            else:\n",
    "                self.y.append(1)\n",
    "        \n",
    "        self.transform = transform\n",
    "\n",
    "    def __getitem__(self, index):\n",
    "        img = Image.open(os.path.join(self.img_dir,\n",
    "                                      self.img_names[index]))\n",
    "        \n",
    "        if self.transform is not None:\n",
    "            img = self.transform(img)\n",
    "        \n",
    "        label = self.y[index]\n",
    "        return img, label\n",
    "\n",
    "    def __len__(self):\n",
    "        return len(self.y)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Dataloaders"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "data_transforms = {\n",
    "    'train': transforms.Compose([\n",
    "        transforms.RandomRotation(5),\n",
    "        transforms.RandomHorizontalFlip(),\n",
    "        transforms.RandomResizedCrop(64, scale=(0.96, 1.0), ratio=(0.95, 1.05)),\n",
    "        transforms.ToTensor(),\n",
    "        transforms.Normalize(train_mean, train_std)\n",
    "    ]),\n",
    "    'valid': transforms.Compose([\n",
    "        transforms.Resize([64, 64]),\n",
    "        transforms.ToTensor(),\n",
    "        transforms.Normalize(train_mean, train_std)\n",
    "    ]),\n",
    "}\n",
    "\n",
    "\n",
    "train_dataset = CatsDogsDataset(img_dir=os.path.join('dogs-vs-cats', 'train'), \n",
    "                                transform=data_transforms['train'])\n",
    "\n",
    "train_loader = DataLoader(dataset=train_dataset, \n",
    "                          batch_size=BATCH_SIZE,\n",
    "                          drop_last=True,\n",
    "                          shuffle=True)\n",
    "\n",
    "valid_dataset = CatsDogsDataset(img_dir=os.path.join('dogs-vs-cats', 'valid'), \n",
    "                                transform=data_transforms['valid'])\n",
    "\n",
    "valid_loader = DataLoader(dataset=valid_dataset, \n",
    "                          batch_size=BATCH_SIZE, \n",
    "                          shuffle=False)\n",
    "\n",
    "test_dataset = CatsDogsDataset(img_dir=os.path.join('dogs-vs-cats', 'test'), \n",
    "                               transform=data_transforms['valid'])\n",
    "\n",
    "test_loader = DataLoader(dataset=test_dataset, \n",
    "                         batch_size=BATCH_SIZE, \n",
    "                         shuffle=False)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Model"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [],
   "source": [
    "from vgg16 import VGG16"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<All keys matched successfully>"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "torch.manual_seed(RANDOM_SEED)\n",
    "model = VGG16(num_classes=NUM_CLASSES)\n",
    "model = model.to(DEVICE)\n",
    "\n",
    "model.load_state_dict(torch.load('vgg16-cats-dogs.state_dict'))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Gradient Visualization"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [],
   "source": [
    "class UnNormalize(object):\n",
    "    def __init__(self, mean, std):\n",
    "        self.mean = mean\n",
    "        self.std = std\n",
    "\n",
    "    def __call__(self, tensor):\n",
    "        \"\"\"\n",
    "        Args:\n",
    "            tensor (Tensor): Tensor image of size (C, H, W) to be normalized.\n",
    "        Returns:\n",
    "            Tensor: Normalized image.\n",
    "        \"\"\"\n",
    "        for t, m, s in zip(tensor, self.mean, self.std):\n",
    "            t.mul_(s).add_(m)\n",
    "            # The normalize code -> t.sub_(m).div_(s)\n",
    "        return tensor\n",
    "    \n",
    "unorm = UnNormalize(mean=train_mean, std=train_std)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [],
   "source": [
    "model.eval()\n",
    "test_loader = DataLoader(dataset=train_dataset, \n",
    "                         batch_size=1, \n",
    "                         shuffle=True)\n",
    "\n",
    "for features, targets in test_loader:\n",
    "    break\n",
    "    \n",
    "features = features.to(DEVICE)\n",
    "targets = targets.to(DEVICE)\n",
    "\n",
    "### Save input gradient\n",
    "features.requires_grad = True\n",
    "\n",
    "### FORWARD AND BACK PROP\n",
    "logits, probas = model(features)\n",
    "cost = F.cross_entropy(logits, targets)\n",
    "cost.backward()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 720x360 with 4 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "gradient = features.grad[0]\n",
    "#gradient = gradient - gradient.min()\n",
    "#gradient /= gradient.max()\n",
    "\n",
    "fig, ax = plt.subplots(1, 4, figsize=(10, 5))\n",
    "\n",
    "# plot images\n",
    "img = unorm(features[0].detach().cpu())\n",
    "ax[0].imshow(np.transpose(img, (1, 2, 0)))\n",
    "ax[0].axis('off')\n",
    "\n",
    "# plot loss gradient with respect to input\n",
    "for i in range(0, 3):\n",
    "    img = gradient[i].cpu()\n",
    "    ax[i+1].imshow(img, cmap='gray')\n",
    "    ax[i+1].axis('off')\n",
    "    \n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 360x720 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "gradient = gradient - gradient.min()\n",
    "gradient /= gradient.max()\n",
    "\n",
    "\n",
    "def convert_to_grayscale(im_as_arr):\n",
    "    \"\"\"\n",
    "    Converts RGB image to grayscale\n",
    "    Expects and returns CHW format.\n",
    "    \"\"\"\n",
    "    grayscale_im = np.sum(np.abs(im_as_arr), axis=0)\n",
    "    im_max = np.percentile(grayscale_im, 99)\n",
    "    im_min = np.min(grayscale_im)\n",
    "    grayscale_im = (np.clip((grayscale_im - im_min) / (im_max - im_min), 0, 1))\n",
    "    grayscale_im = np.expand_dims(grayscale_im, axis=0)\n",
    "    return grayscale_im\n",
    "\n",
    "\n",
    "fig, ax = plt.subplots(1, 2, figsize=(5, 10))\n",
    "\n",
    "# plot images\n",
    "img = unorm(features[0].detach().cpu())\n",
    "ax[0].imshow(np.transpose(img, (1, 2, 0)))\n",
    "ax[0].axis('off')\n",
    "\n",
    "# plot loss gradient with respect to input\n",
    "img = convert_to_grayscale(gradient.cpu().numpy())\n",
    "ax[1].imshow(np.transpose(img, (1, 2, 0))[:, :, 0], cmap='gray')\n",
    "ax[1].axis('off')\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [],
   "source": [
    "from PIL import Image\n",
    "\n",
    "grad_img = np.uint8(np.transpose(gradient.cpu()*255.0, (1, 2, 0)))\n",
    "\n",
    "result = Image.fromarray(grad_img)\n",
    "result.save('gradient.png')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<PIL.Image.Image image mode=RGB size=64x64 at 0x7F881C199470>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from IPython.display import display\n",
    "display(result)"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.3"
  },
  "toc": {
   "nav_menu": {},
   "number_sections": true,
   "sideBar": true,
   "skip_h1_title": false,
   "title_cell": "Table of Contents",
   "title_sidebar": "Contents",
   "toc_cell": false,
   "toc_position": {},
   "toc_section_display": true,
   "toc_window_display": false
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}
